Synchronization and spatiotemporal patterns in coupled phase oscillators on a weighted planar network

Yuki Kagawa*, Atsuko Takamatsu

*この研究の対応する著者

研究成果査読

8 被引用数 (Scopus)

抄録

To reveal the relation between network structures found in two-dimensional biological systems, such as protoplasmic tube networks in the plasmodium of true slime mold, and spatiotemporal oscillation patterns emerged on the networks, we constructed coupled phase oscillators on weighted planar networks and investigated their dynamics. Results showed that the distribution of edge weights in the networks strongly affects (i) the propensity for global synchronization and (ii) emerging ratios of oscillation patterns, such as traveling and concentric waves, even if the total weight is fixed. In-phase locking, traveling wave, and concentric wave patterns were, respectively, observed most frequently in uniformly weighted, center weighted treelike, and periphery weighted ring-shaped networks. Controlling the global spatiotemporal patterns with the weight distribution given by the local weighting (coupling) rules might be useful in biological network systems including the plasmodial networks and neural networks in the brain.

本文言語English
論文番号046216
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
79
4
DOI
出版ステータスPublished - 2009 4 1

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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